Question
which set of angle measures could be the interior angles of a triangle?
A. 90,90,108
B. 90,90,90
C. 10,70,100
D. 15,35,135
A. 90,90,108
B. 90,90,90
C. 10,70,100
D. 15,35,135
Answers
GPT-4o mini
To determine which set of angle measures could be the interior angles of a triangle, the sum of the interior angles of a triangle must equal 180 degrees.
Let's evaluate each option:
A. \(90 + 90 + 108 = 288\) (Not valid)
B. \(90 + 90 + 90 = 270\) (Not valid)
C. \(10 + 70 + 100 = 180\) (Valid)
D. \(15 + 35 + 135 = 185\) (Not valid)
The only set of angle measures that could be the interior angles of a triangle is **C. 10, 70, 100**.
Let's evaluate each option:
A. \(90 + 90 + 108 = 288\) (Not valid)
B. \(90 + 90 + 90 = 270\) (Not valid)
C. \(10 + 70 + 100 = 180\) (Valid)
D. \(15 + 35 + 135 = 185\) (Not valid)
The only set of angle measures that could be the interior angles of a triangle is **C. 10, 70, 100**.